Hypothesis Testing- 2 samples The mean number of English courses taken in a two-year time period by male and female college students is believed to be about the same. An experiment is conducted and data are collected from 29 males and 16 females. The males took an average of three English courses with a standard deviation of 0.7. The females took an average of four English courses with a standard deviation of 1.0. Are the means statistically the same? (Use ? = 0.05) NOTE: If you are using a Student's t-distribution for the problem, including for paired data, you may assume that the underlying population is normally distributed. (In general, you must first prove that assumption, though.) Part 1) Sketch a picture of this situation. Label and scale the horizontal axis and shade the region(s) corresponding to the p-value. Part 2) Indicate the correct decision ("reject" or "do not reject" the null hypothesis), the reason for it, and write an appropriate conclusion. (i) Alpha (Enter an exact number as an integer, fraction, or decimal.) ? = Part 3) Explain how you determined which distribution to use. a) The t-distribution will be used because the samples are dependent. b) The t-distribution will be used because the samples are independent and the population standard deviation is not known. c) The standard normal distribution will be used because the samples are independent and the population standard deviation is known. d) The standard normal distribution will be used because the samples involve the difference in proportions

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

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Hypothesis Testing- 2 samples

The mean number of English courses taken in a two-year time period by male and female college students is believed to be about the same. An experiment is conducted and data are collected from 29 males and 16 females. The males took an average of three English courses with a standard deviation of 0.7. The females took an average of four English courses with a standard deviation of 1.0. Are the means statistically the same? (Use ? = 0.05) NOTE: If you are using a Student's t-distribution for the problem, including for paired data, you may assume that the underlying population is normally distributed. (In general, you must first prove that assumption, though.)

Part 1) Sketch a picture of this situation. Label and scale the horizontal axis and shade the region(s) corresponding to the p-value.

Part 2) Indicate the correct decision ("reject" or "do not reject" the null hypothesis), the reason for it, and write an appropriate conclusion.

(i) Alpha (Enter an exact number as an integer, fraction, or decimal.)
? =

Part 3) Explain how you determined which distribution to use.

a) The t-distribution will be used because the samples are dependent.

b) The t-distribution will be used because the samples are independent and the population standard deviation is not known.

c) The standard normal distribution will be used because the samples are independent and the population standard deviation is known.

d) The standard normal distribution will be used because the samples involve the difference in proportions

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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